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Marco Ripà
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Aside the suggestion to send your preprint to a peer-review journal, here are some online repositories that I recently used together with (or as an alternative to) the arXiv (i.e., some of my preprints/papers are also on the arXiv, whereas some others are available only in (some of) the repositories listed below):

  1. HAL I consider this as the best alternative to the arXiv, but you can also share your preprints using both of them, if accepted by the moderators; here is an example of my old paper entitled "Patterns related to the Smarandache circular sequence primality problem", published on NNTDM in 2012, that was not accepted by the arXiv moderators, so I have consequently submitted it to HAL [ https://hal.archives-ouvertes.fr/hal-03703339 ]
  2. Optimization online: Depending on the topic of your contents, it could be an option to choose Optimization Online; here is an example of a preprint of mine that is also available on the arXiv [ https://optimization-online.org/2022/06/8968/ ]
  3. viXra: I do not recommend this solution as a first choice, but viXra is $100\%$ open, it does not require any endorsement or an institutional affiliation before submitting a manuscript and it contains lots of preprints... the overall quality is (IMHO) considerably lower than the average preprint available on arXiv, but I think that this should not be a valid reason to refuse to share/read anything posted there (and my first preprints are still available on viXra, no regrets at all) https://vixra.org/
  4. ResearchGate: A scientific social network, not an online repository as the above, so I put this as a fourth option due to the only reason that some/many journals will not allow you to share your preprints on RG too (read carefully the journal rules/policy if you are planning to submit your preprints to a journal too) https://www.researchgate.net/

P.S. I understand arXiv moderators' policy, even if sometime I have disagreed with them about refusing a paper as the one mentioned above... its a free and reputable service, that requires higher standards than some other repositories... and humans can disagree about the content of a preprint sometime, expecially if they have only a few hours/days to take their decision.

Marco Ripà
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